2827936 has 24 divisors (see below), whose sum is σ = 5654880. Its totient is φ = 1391808.

The previous prime is 2827931. The next prime is 2827939. The reversal of 2827936 is 6397282.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2827895 and 2827904.

It is not an unprimeable number, because it can be changed into a prime (2827931) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1485 + ... + 2803.

It is an arithmetic number, because the mean of its divisors is an integer number (235620).

2^2827936 is an apocalyptic number.

It is an amenable number.

2827936 is a deficient number, since it is larger than the sum of its proper divisors (2826944).

2827936 is a wasteful number, since it uses less digits than its factorization.

2827936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1388 counting only the distinct ones).

The product of its digits is 36288, while the sum is 37.

The square root of 2827936 is about 1681.6468119079. The cubic root of 2827936 is about 141.4131703511.

The spelling of 2827936 in words is "two million, eight hundred twenty-seven thousand, nine hundred thirty-six".